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<div class="title">qwt_spline_cubic.cpp</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/******************************************************************************</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Qwt Widget Library</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * Copyright (C) 1997   Josef Wilgen</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * Copyright (C) 2002   Uwe Rathmann</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * This library is free software; you can redistribute it and/or</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * modify it under the terms of the Qwt License, Version 1.0</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *****************************************************************************/</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &quot;qwt_spline_cubic.h&quot;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &quot;qwt_spline_polynomial.h&quot;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;qpolygon.h&gt;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;qpainterpath.h&gt;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#define SLOPES_INCREMENTAL 0</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#define KAHAN 0</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span>QwtSplineCubicP</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;{</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">class </span>KahanSum</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    {</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        <span class="keyword">inline</span> KahanSum( <span class="keywordtype">double</span> value = 0.0 ):</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;            m_sum( value ),</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            m_carry( 0.0 )</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        {</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        }</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> reset()</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        {</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            m_sum = m_carry = 0.0;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        }</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160; </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> value()<span class="keyword"> const</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;            <span class="keywordflow">return</span> m_sum;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        }</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160; </div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> add( <span class="keywordtype">double</span> value )</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        {</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> y = value - m_carry;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> t = m_sum + y;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160; </div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            m_carry = ( t - m_sum ) - y;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            m_sum = t;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        }</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> sum3( <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2, <span class="keywordtype">double</span> d3 )</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        {</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            KahanSum sum( d1 );</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            sum.add( d2 );</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            sum.add( d3 );</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            <span class="keywordflow">return</span> sum.value();</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        }</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> sum4( <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2, <span class="keywordtype">double</span> d3, <span class="keywordtype">double</span> d4 )</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        {</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            KahanSum sum( d1 );</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            sum.add( d2 );</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            sum.add( d3 );</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            sum.add( d4 );</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            <span class="keywordflow">return</span> sum.value();</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        }</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160; </div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">private</span>:</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordtype">double</span> m_sum;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordtype">double</span> m_carry; <span class="comment">// The carry from the previous operation</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    };</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160; </div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keyword">class </span>CurvatureStore</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    {</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> setup( <span class="keywordtype">int</span> size )</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        {</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            m_curvatures.resize( size );</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            m_cv = m_curvatures.data();</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        }</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> storeFirst( <span class="keywordtype">double</span>,</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            <span class="keyword">const</span> QPointF&amp;, <span class="keyword">const</span> QPointF&amp;, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> )</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        {</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            m_cv[0] = 2.0 * b1;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        }</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160; </div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> storeNext( <span class="keywordtype">int</span> index, <span class="keywordtype">double</span>,</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            <span class="keyword">const</span> QPointF&amp;, <span class="keyword">const</span> QPointF&amp;, <span class="keywordtype">double</span>, <span class="keywordtype">double</span> b2 )</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        {</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            m_cv[index] = 2.0 * b2;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        }</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> storeLast( <span class="keywordtype">double</span>,</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            <span class="keyword">const</span> QPointF&amp;, <span class="keyword">const</span> QPointF&amp;, <span class="keywordtype">double</span>, <span class="keywordtype">double</span> b2 )</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            m_cv[m_curvatures.size() - 1] = 2.0 * b2;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        }</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160; </div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> storePrevious( <span class="keywordtype">int</span> index, <span class="keywordtype">double</span>,</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            <span class="keyword">const</span> QPointF&amp;, <span class="keyword">const</span> QPointF&amp;, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> )</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        {</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            m_cv[index] = 2.0 * b1;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        }</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160; </div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> closeR()</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        {</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            m_cv[0] = m_cv[m_curvatures.size() - 1];</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        }</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160; </div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> curvatures()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_curvatures; }</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160; </div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keyword">private</span>:</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> m_curvatures;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordtype">double</span>* m_cv;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    };</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160; </div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keyword">class </span>SlopeStore</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    {</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> setup( <span class="keywordtype">int</span> size )</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        {</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;            m_slopes.resize( size );</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            m_m = m_slopes.data();</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        }</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160; </div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> storeFirst( <span class="keywordtype">double</span> h,</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            <span class="keyword">const</span> QPointF&amp; p1, <span class="keyword">const</span> QPointF&amp; p2, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2 )</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        {</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s = ( p2.y() - p1.y() ) / h;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            m_m[0] = s - h * ( 2.0 * b1 + b2 ) / 3.0;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="preprocessor">#if KAHAN</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            m_sum.add( m_m[0] );</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        }</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160; </div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> storeNext( <span class="keywordtype">int</span> index, <span class="keywordtype">double</span> h,</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            <span class="keyword">const</span> QPointF&amp; p1, <span class="keyword">const</span> QPointF&amp; p2, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2 )</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        {</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="preprocessor">#if SLOPES_INCREMENTAL</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;            Q_UNUSED( p1 )</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            Q_UNUSED( p2 )</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="preprocessor">#if KAHAN</span></div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            m_sum.add( ( b1 + b2 ) * h );</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;            m_m[index] = m_sum.value();</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            m_m[index] = m_m[index - 1] + ( b1 + b2 ) * h;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s = ( p2.y() - p1.y() ) / h;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;            m_m[index] = s + h * ( b1 + 2.0 * b2 ) / 3.0;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        }</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160; </div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> storeLast( <span class="keywordtype">double</span> h,</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            <span class="keyword">const</span> QPointF&amp; p1, <span class="keyword">const</span> QPointF&amp; p2, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2 )</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        {</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s = ( p2.y() - p1.y() ) / h;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;            m_m[m_slopes.size() - 1] = s + h * ( b1 + 2.0 * b2 ) / 3.0;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;<span class="preprocessor">#if KAHAN</span></div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            m_sum.add( m_m[m_slopes.size() - 1] );</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        }</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160; </div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> storePrevious( <span class="keywordtype">int</span> index, <span class="keywordtype">double</span> h,</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;            <span class="keyword">const</span> QPointF&amp; p1, <span class="keyword">const</span> QPointF&amp; p2, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2 )</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;        {</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;<span class="preprocessor">#if SLOPES_INCREMENTAL</span></div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;            Q_UNUSED( p1 )</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;            Q_UNUSED( p2 )</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="preprocessor">#if KAHAN</span></div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;            m_sum.add( -( b1 + b2 ) * h );</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;            m_m[index] = m_sum.value();</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;            m_m[index] = m_m[index + 1] - ( b1 + b2 ) * h;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160; </div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s = ( p2.y() - p1.y() ) / h;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;            m_m[index] = s - h * ( 2.0 * b1 + b2 ) / 3.0;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        }</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160; </div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> closeR()</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        {</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;            m_m[0] = m_m[m_slopes.size() - 1];</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        }</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160; </div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> slopes()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_slopes; }</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160; </div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;      <span class="keyword">private</span>:</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;        <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> m_slopes;</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;        <span class="keywordtype">double</span>* m_m;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="preprocessor">#if SLOPES_INCREMENTAL</span></div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        KahanSum m_sum;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    };</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;}</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160; </div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="keyword">namespace </span>QwtSplineCubicP</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;{</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    <span class="keyword">class </span>Equation2</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    {</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;        <span class="keyword">inline</span> Equation2()</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        {</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        }</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160; </div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;        <span class="keyword">inline</span> Equation2( <span class="keywordtype">double</span> p0, <span class="keywordtype">double</span> q0, <span class="keywordtype">double</span> r0 ):</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;            p( p0 ),</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;            q( q0 ),</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;            r( r0 )</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;        {</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;        }</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160; </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> setup( <span class="keywordtype">double</span> p0, <span class="keywordtype">double</span> q0, <span class="keywordtype">double</span> r0 )</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        {</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            p = p0;</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;            q = q0;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;            r = r0;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;        }</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160; </div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;        <span class="keyword">inline</span> Equation2 normalized()<span class="keyword"> const</span></div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;            Equation2 c;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;            c.p = 1.0;</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;            c.q = q / p;</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;            c.r = r / p;</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160; </div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;            <span class="keywordflow">return</span> c;</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;        }</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160; </div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved1( <span class="keywordtype">double</span> x2 )<span class="keyword"> const</span></div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;            <span class="keywordflow">return</span> ( r - q * x2 ) / p;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        }</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160; </div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved2( <span class="keywordtype">double</span> x1 )<span class="keyword"> const</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;            <span class="keywordflow">return</span> ( r - p * x1 ) / q;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;        }</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160; </div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved1( <span class="keyword">const</span> Equation2&amp; eq )<span class="keyword"> const</span></div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;            <span class="comment">// find x1</span></div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;            <span class="keywordtype">double</span> k = q / eq.q;</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;            <span class="keywordflow">return</span> ( r - k * eq.r ) / ( p - k * eq.p );</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        }</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160; </div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved2( <span class="keyword">const</span> Equation2&amp; eq )<span class="keyword"> const</span></div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;            <span class="comment">// find x2</span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> k = p / eq.p;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;            <span class="keywordflow">return</span> ( r - k * eq.r ) / ( q - k * eq.q );</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        }</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160; </div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;        <span class="comment">// p * x1 + q * x2 = r</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;        <span class="keywordtype">double</span> p, q, r;</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;    };</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160; </div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;    <span class="keyword">class </span>Equation3</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;    {</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;        <span class="keyword">inline</span> Equation3()</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;        {</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;        }</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160; </div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;        <span class="keyword">inline</span> Equation3( <span class="keyword">const</span> QPointF&amp; p1, <span class="keyword">const</span> QPointF&amp; p2, <span class="keyword">const</span> QPointF&amp; p3 )</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;        {</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = p2.x() - p1.x();</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( p2.y() - p1.y() ) / h1;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160; </div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> h2 = p3.x() - p2.x();</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s2 = ( p3.y() - p2.y() ) / h2;</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160; </div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;            p = h1;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;            q = 2 * ( h1 + h2 );</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;            u = h2;</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;            r = 3 * ( s2 - s1 );</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        }</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160; </div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        <span class="keyword">inline</span> Equation3( <span class="keywordtype">double</span> cp, <span class="keywordtype">double</span> cq, <span class="keywordtype">double</span> du, <span class="keywordtype">double</span> dr ):</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;            p( cp ),</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;            q( cq ),</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;            u( du ),</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;            r( dr )</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        {</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;        }</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160; </div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator==( <span class="keyword">const</span> Equation3&amp; c )<span class="keyword"> const</span></div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;            <span class="keywordflow">return</span> ( p == c.p ) &amp;&amp; ( q == c.q ) &amp;&amp;</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;                   ( u == c.u ) &amp;&amp; ( r == c.r );</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;        }</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160; </div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> setup( <span class="keywordtype">double</span> cp, <span class="keywordtype">double</span> cq, <span class="keywordtype">double</span> du, <span class="keywordtype">double</span> dr )</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;        {</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;            p = cp;</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;            q = cq;</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;            u = du;</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;            r = dr;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;        }</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160; </div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;        <span class="keyword">inline</span> Equation3 normalized()<span class="keyword"> const</span></div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;            Equation3 c;</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;            c.p = 1.0;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;            c.q = q / p;</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;            c.u = u / p;</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;            c.r = r / p;</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160; </div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;            <span class="keywordflow">return</span> c;</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;        }</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160; </div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;        <span class="keyword">inline</span> Equation2 substituted1( <span class="keyword">const</span> Equation3&amp; eq )<span class="keyword"> const</span></div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;            <span class="comment">// eliminate x1</span></div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> k = p / eq.p;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;            <span class="keywordflow">return</span> Equation2( q - k * eq.q, u - k * eq.u, r - k * eq.r );</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;        }</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160; </div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;        <span class="keyword">inline</span> Equation2 substituted2( <span class="keyword">const</span> Equation3&amp; eq )<span class="keyword"> const</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;            <span class="comment">// eliminate x2</span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160; </div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> k = q / eq.q;</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;            <span class="keywordflow">return</span> Equation2( p - k * eq.p, u - k * eq.u, r - k * eq.r );</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;        }</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160; </div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;        <span class="keyword">inline</span> Equation2 substituted3( <span class="keyword">const</span> Equation3&amp; eq )<span class="keyword"> const</span></div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;            <span class="comment">// eliminate x3</span></div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160; </div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> k = u / eq.u;</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;            <span class="keywordflow">return</span> Equation2( p - k * eq.p, q - k * eq.q, r - k * eq.r );</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        }</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160; </div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;        <span class="keyword">inline</span> Equation2 substituted1( <span class="keyword">const</span> Equation2&amp; eq )<span class="keyword"> const</span></div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;            <span class="comment">// eliminate x1</span></div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> k = p / eq.p;</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;            <span class="keywordflow">return</span> Equation2( q - k * eq.q, u, r - k * eq.r );</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;        }</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160; </div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;        <span class="keyword">inline</span> Equation2 substituted3( <span class="keyword">const</span> Equation2&amp; eq )<span class="keyword"> const</span></div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;            <span class="comment">// eliminate x3</span></div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160; </div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> k = u / eq.q;</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;            <span class="keywordflow">return</span> Equation2( p, q - k * eq.p, r - k * eq.r );</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;        }</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160; </div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160; </div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved1( <span class="keywordtype">double</span> x2, <span class="keywordtype">double</span> x3 )<span class="keyword"> const</span></div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;            <span class="keywordflow">return</span> ( r - q * x2 - u * x3 ) / p;</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;        }</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160; </div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved2( <span class="keywordtype">double</span> x1, <span class="keywordtype">double</span> x3 )<span class="keyword"> const</span></div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;            <span class="keywordflow">return</span> ( r - u * x3 - p * x1 ) / q;</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;        }</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160; </div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved3( <span class="keywordtype">double</span> x1, <span class="keywordtype">double</span> x2 )<span class="keyword"> const</span></div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;            <span class="keywordflow">return</span> ( r - p * x1 - q * x2 ) / u;</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;        }</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160; </div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;        <span class="comment">// p * x1 + q * x2 + u * x3 = r</span></div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;        <span class="keywordtype">double</span> p, q, u, r;</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;    };</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;}</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160; </div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;<span class="preprocessor">#if 0</span></div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;<span class="keyword">static</span> QDebug operator&lt;&lt;( QDebug debug, <span class="keyword">const</span> QwtSplineCubicP::Equation2&amp; eq )</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;{</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;    debug.nospace() &lt;&lt; <span class="stringliteral">&quot;EQ2(&quot;</span> &lt;&lt; eq.p &lt;&lt; <span class="stringliteral">&quot;, &quot;</span> &lt;&lt; eq.q &lt;&lt; <span class="stringliteral">&quot;, &quot;</span> &lt;&lt; eq.r &lt;&lt; <span class="stringliteral">&quot;)&quot;</span>;</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;    <span class="keywordflow">return</span> debug.space();</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;}</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160; </div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;<span class="keyword">static</span> QDebug operator&lt;&lt;( QDebug debug, <span class="keyword">const</span> QwtSplineCubicP::Equation3&amp; eq )</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;{</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;    debug.nospace() &lt;&lt; <span class="stringliteral">&quot;EQ3(&quot;</span> &lt;&lt; eq.p &lt;&lt; <span class="stringliteral">&quot;, &quot;</span></div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;                    &lt;&lt; eq.q &lt;&lt; <span class="stringliteral">&quot;, &quot;</span> &lt;&lt; eq.u &lt;&lt; <span class="stringliteral">&quot;, &quot;</span> &lt;&lt; eq.r &lt;&lt; <span class="stringliteral">&quot;)&quot;</span>;</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;    <span class="keywordflow">return</span> debug.space();</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;}</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160; </div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;<span class="keyword">namespace </span>QwtSplineCubicP</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;{</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;    <span class="keyword">template</span>&lt; <span class="keyword">class</span> T &gt;</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;    <span class="keyword">class </span>EquationSystem</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;    {</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;        <span class="keywordtype">void</span> setStartCondition( <span class="keywordtype">double</span> p, <span class="keywordtype">double</span> q, <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> r )</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;        {</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;            m_conditionsEQ[0].setup( p, q, u, r );</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;        }</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160; </div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;        <span class="keywordtype">void</span> setEndCondition( <span class="keywordtype">double</span> p, <span class="keywordtype">double</span> q, <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> r )</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;        {</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;            m_conditionsEQ[1].setup( p, q, u, r );</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;        }</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160; </div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;        <span class="keyword">const</span> T&amp; store()<span class="keyword"> const</span></div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;            <span class="keywordflow">return</span> m_store;</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;        }</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160; </div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;        <span class="keywordtype">void</span> resolve( <span class="keyword">const</span> QPolygonF&amp; p )</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;        {</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = p.size();</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;            <span class="keywordflow">if</span> ( n &lt; 3 )</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160; </div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;            <span class="keywordflow">if</span> ( m_conditionsEQ[0].p == 0.0 ||</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;                ( m_conditionsEQ[0].q == 0.0 &amp;&amp; m_conditionsEQ[0].u != 0.0 ) )</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;            {</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;            }</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160; </div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;            <span class="keywordflow">if</span> ( m_conditionsEQ[1].u == 0.0 ||</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;                ( m_conditionsEQ[1].q == 0.0 &amp;&amp; m_conditionsEQ[1].p != 0.0 ) )</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;            {</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;            }</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160; </div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> h0 = p[1].x() - p[0].x();</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = p[2].x() - p[1].x();</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> hn = p[n - 1].x() - p[n - 2].x();</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160; </div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;            m_store.setup( n );</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160; </div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160; </div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;            <span class="keywordflow">if</span> ( n == 3 )</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;            {</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;                <span class="comment">// For certain conditions the first/last point does not</span></div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;                <span class="comment">// necessarily meet the spline equation and we would</span></div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;                <span class="comment">// have many solutions. In this case we resolve using</span></div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;                <span class="comment">// the spline equation - as for all other conditions.</span></div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160; </div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;                <span class="keyword">const</span> Equation3 eqSpline0( p[0], p[1], p[2] ); <span class="comment">// ???</span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;                <span class="keyword">const</span> Equation2 eq0 = m_conditionsEQ[0].substituted1( eqSpline0 );</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160; </div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;                <span class="comment">// The equation system can be solved without substitution</span></div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;                <span class="comment">// from the start/end conditions and eqSpline0 ( = eqSplineN ).</span></div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160; </div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;                <span class="keywordtype">double</span> b1;</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160; </div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;                <span class="keywordflow">if</span> ( m_conditionsEQ[0].normalized() == m_conditionsEQ[1].normalized() )</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;                {</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;                    <span class="comment">// When we have 3 points only and start/end conditions</span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;                    <span class="comment">// for 3 points mean the same condition the system</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;                    <span class="comment">// is under-determined and has many solutions.</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;                    <span class="comment">// We chose b1 = 0.0</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160; </div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;                    b1 = 0.0;</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;                }</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;                <span class="keywordflow">else</span></div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;                {</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;                    <span class="keyword">const</span> Equation2 eq = m_conditionsEQ[1].substituted1( eqSpline0 );</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;                    b1 = eq0.resolved1( eq );</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;                }</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160; </div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> b2 = eq0.resolved2( b1 );</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> b0 = eqSpline0.resolved1( b1, b2 );</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160; </div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;                m_store.storeFirst( h0, p[0], p[1], b0, b1 );</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;                m_store.storeNext( 1, h0, p[0], p[1], b0, b1 );</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;                m_store.storeNext( 2, h1, p[1], p[2], b1, b2 );</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160; </div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;            }</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160; </div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;            <span class="keyword">const</span> Equation3 eqSplineN( p[n - 3], p[n - 2], p[n - 1] );</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;            <span class="keyword">const</span> Equation2 eqN = m_conditionsEQ[1].substituted3( eqSplineN );</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160; </div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;            Equation2 eq = eqN;</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;            <span class="keywordflow">if</span> ( n &gt; 4 )</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;            {</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;                <span class="keyword">const</span> Equation3 eqSplineR( p[n - 4], p[n - 3], p[n - 2] );</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;                eq = eqSplineR.substituted3( eq );</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;                eq = substituteSpline( p, eq );</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;            }</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160; </div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;            <span class="keyword">const</span> Equation3 eqSpline0( p[0], p[1], p[2] );</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160; </div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;            <span class="keywordtype">double</span> b0, b1;</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;            <span class="keywordflow">if</span> ( m_conditionsEQ[0].u == 0.0 )</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;            {</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;                eq = eqSpline0.substituted3( eq );</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160; </div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;                <span class="keyword">const</span> Equation3&amp; eq0 = m_conditionsEQ[0];</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;                b0 = Equation2( eq0.p, eq0.q, eq0.r ).resolved1( eq );</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;                b1 = eq.resolved2( b0 );</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;            }</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;            {</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;                <span class="keyword">const</span> Equation2 eqX = m_conditionsEQ[0].substituted3( eq );</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;                <span class="keyword">const</span> Equation2 eqY = eqSpline0.substituted3( eq );</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160; </div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;                b0 = eqY.resolved1( eqX );</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;                b1 = eqY.resolved2( b0 );</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;            }</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160; </div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;            m_store.storeFirst( h0, p[0], p[1], b0, b1 );</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;            m_store.storeNext( 1, h0, p[0], p[1], b0, b1 );</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160; </div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> bn2 = resolveSpline( p, b1 );</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160; </div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> bn1 = eqN.resolved2( bn2 );</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> bn0 = m_conditionsEQ[1].resolved3( bn2, bn1 );</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160; </div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> hx = p[n - 2].x() - p[n - 3].x();</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;            m_store.storeNext( n - 2, hx, p[n - 3], p[n - 2], bn2, bn1 );</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;            m_store.storeNext( n - 1, hn, p[n - 2], p[n - 1], bn1, bn0 );</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;        }</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160; </div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;      <span class="keyword">private</span>:</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;        Equation2 substituteSpline( <span class="keyword">const</span> QPolygonF&amp; points, <span class="keyword">const</span> Equation2&amp; eq )</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;        {</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160; </div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;            m_eq.resize( n - 2 );</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;            m_eq[n - 3] = eq;</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160; </div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;            <span class="comment">// eq[i].resolved2( b[i-1] ) =&gt; b[i]</span></div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160; </div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;            <span class="keywordtype">double</span> slope2 = ( points[n - 3].y() - points[n - 4].y() ) / eq.p;</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160; </div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;            for ( <span class="keywordtype">int</span> i = n - 4; i &gt; 1; i-- )</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;            {</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;                <span class="keyword">const</span> Equation2&amp; eq2 = m_eq[i + 1];</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;                Equation2&amp; eq1 = m_eq[i];</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160; </div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;                eq1.p = points[i].x() - points[i - 1].x();</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> slope1 = ( points[i].y() - points[i - 1].y() ) / eq1.p;</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160; </div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> v = eq2.p / eq2.q;</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160; </div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;                eq1.q = 2.0 * ( eq1.p + eq2.p ) - v * eq2.p;</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;                eq1.r = 3.0 * ( slope2 - slope1 ) - v * eq2.r;</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160; </div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;                slope2 = slope1;</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;            }</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160; </div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;            <span class="keywordflow">return</span> m_eq[2];</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;        }</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160; </div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;        <span class="keywordtype">double</span> resolveSpline( <span class="keyword">const</span> QPolygonF&amp; points, <span class="keywordtype">double</span> b1 )</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;        {</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;            <span class="keyword">const</span> QPointF* p = points.constData();</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160; </div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;            <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 2; i &lt; n - 2; i++ )</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;            {</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;                <span class="comment">// eq[i].resolved2( b[i-1] ) =&gt; b[i]</span></div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> b2 = m_eq[i].resolved2( b1 );</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;                m_store.storeNext( i, m_eq[i].p, p[i - 1], p[i], b1, b2 );</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160; </div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;                b1 = b2;</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;            }</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160; </div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;            <span class="keywordflow">return</span> b1;</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;        }</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160; </div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;      <span class="keyword">private</span>:</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;        Equation3 m_conditionsEQ[2];</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;        <a class="code" href="class_q_vector.html">QVector&lt; Equation2 &gt;</a> m_eq;</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;        T m_store;</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;    };</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160; </div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;    <span class="keyword">template</span>&lt; <span class="keyword">class</span> T &gt;</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;    <span class="keyword">class </span>EquationSystem2</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;    {</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;        <span class="keyword">const</span> T&amp; store()<span class="keyword"> const</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;            <span class="keywordflow">return</span> m_store;</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;        }</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160; </div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;        <span class="keywordtype">void</span> resolve( <span class="keyword">const</span> QPolygonF&amp; p )</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;        {</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = p.size();</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160; </div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;            <span class="keywordflow">if</span> ( p[n - 1].y() != p[0].y() )</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;            {</div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;                <span class="comment">// TODO ???</span></div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;            }</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160; </div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> h0 = p[1].x() - p[0].x();</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s0 = ( p[1].y() - p[0].y() ) / h0;</div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160; </div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;            <span class="keywordflow">if</span> ( n == 3 )</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;            {</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = p[2].x() - p[1].x();</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( p[2].y() - p[1].y() ) / h1;</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160; </div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> b = 3.0 * ( s0 - s1 ) / ( h0 + h1 );</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160; </div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;                m_store.setup( 3 );</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;                m_store.storeLast( h1, p[1], p[2], -b, b );</div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;                m_store.storePrevious( 1, h1, p[1], p[2], -b, b );</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;                m_store.closeR();</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160; </div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;            }</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160; </div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> hn = p[n - 1].x() - p[n - 2].x();</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160; </div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;            Equation2 eqn, eqX;</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;            substitute( p, eqn, eqX );</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160; </div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> b0 = eqn.resolved2( eqX );</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> bn = eqn.resolved1( b0 );</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160; </div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;            m_store.setup( n );</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;            m_store.storeLast( hn, p[n - 2], p[n - 1], bn, b0 );</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;            m_store.storePrevious( n - 2, hn, p[n - 2], p[n - 1], bn, b0 );</div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160; </div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;            resolveSpline( p, b0, bn );</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160; </div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;            m_store.closeR();</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;        }</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160; </div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;      <span class="keyword">private</span>:</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160; </div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;        <span class="keywordtype">void</span> substitute( <span class="keyword">const</span> QPolygonF&amp; points, Equation2&amp; eqn, Equation2&amp; eqX )</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;        {</div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160; </div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> hn = points[n - 1].x() - points[n - 2].x();</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160; </div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;            <span class="keyword">const</span> Equation3 eqSpline0( points[0], points[1], points[2] );</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;            <span class="keyword">const</span> Equation3 eqSplineN(</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;                QPointF( points[0].x() - hn, points[n - 2].y() ), points[0], points[1] );</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160; </div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;            m_eq.resize( n - 1 );</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160; </div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;            <span class="keywordtype">double</span> dq = 0;</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;            <span class="keywordtype">double</span> dr = 0;</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160; </div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;            m_eq[1] = eqSpline0;</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160; </div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;            <span class="keywordtype">double</span> slope1 = ( points[2].y() - points[1].y() ) / m_eq[1].u;</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160; </div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;            <span class="comment">// a) p1 * b[0] + q1 * b[1] + u1 * b[2] = r1</span></div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;            <span class="comment">// b) p2 * b[n-2] + q2 * b[0] + u2 * b[1] = r2</span></div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;            <span class="comment">// c) pi * b[i-1] + qi * b[i] + ui * b[i+1] = ri</span></div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;            <span class="comment">//</span></div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;            <span class="comment">// Using c) we can substitute b[i] ( starting from 2 ) by b[i+1]</span></div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;            <span class="comment">// until we reach n-1. As we know, that b[0] == b[n-1] we found</span></div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;            <span class="comment">// an equation where only 2 coefficients ( for b[n-2], b[0] ) are left unknown.</span></div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;            <span class="comment">// Each step we have an equation that depends on b[0], b[i] and b[i+1]</span></div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;            <span class="comment">// that can also be used to substitute b[i] in b). Ding so we end up with another</span></div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;            <span class="comment">// equation depending on b[n-2], b[0] only.</span></div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;            <span class="comment">// Finally 2 equations with 2 coefficients can be solved.</span></div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160; </div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;            <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 2; i &lt; n - 1; i++ )</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;            {</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;                <span class="keyword">const</span> Equation3&amp; eq1 = m_eq[i - 1];</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;                Equation3&amp; eq2 = m_eq[i];</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160; </div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;                dq += eq1.p * eq1.p / eq1.q;</div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;                dr += eq1.p * eq1.r / eq1.q;</div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160; </div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;                eq2.u = points[i + 1].x() - points[i].x();</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> slope2 = ( points[i + 1].y() - points[i].y() ) / eq2.u;</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160; </div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> k = eq1.u / eq1.q;</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160; </div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;                eq2.p = -eq1.p * k;</div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;                eq2.q = 2.0 * ( eq1.u + eq2.u ) - eq1.u * k;</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;                eq2.r = 3.0 * ( slope2 - slope1 ) - eq1.r * k;</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160; </div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;                slope1 = slope2;</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;            }</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160; </div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160; </div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;            <span class="comment">// b[0] * m_p[n-2] + b[n-2] * m_q[n-2] + b[n-1] * pN = m_r[n-2]</span></div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;            eqn.setup( m_eq[n - 2].q, m_eq[n - 2].p + eqSplineN.p, m_eq[n - 2].r );</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160; </div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;            <span class="comment">// b[n-2] * pN + b[0] * ( qN - dq ) + b[n-2] * m_p[n-2] = rN - dr</span></div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;            eqX.setup( m_eq[n - 2].p + eqSplineN.p, eqSplineN.q - dq, eqSplineN.r - dr );</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;        }</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160; </div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;        <span class="keywordtype">void</span> resolveSpline( <span class="keyword">const</span> QPolygonF&amp; points, <span class="keywordtype">double</span> b0, <span class="keywordtype">double</span> bi )</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;        {</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160; </div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;            <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = n - 3; i &gt;= 1; i-- )</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;            {</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;                <span class="keyword">const</span> Equation3&amp; eq = m_eq[i];</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160; </div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> b = eq.resolved2( b0, bi );</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;                m_store.storePrevious( i, eq.u, points[i], points[i + 1], b, bi );</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160; </div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;                bi = b;</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;            }</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;        }</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160; </div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;        <span class="keywordtype">void</span> resolveSpline2( <span class="keyword">const</span> QPolygonF&amp; points,</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;            <span class="keywordtype">double</span> b0, <span class="keywordtype">double</span> bi, <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a>&amp; m )</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;        {</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160; </div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;            bi = m_eq[0].resolved3( b0, bi );</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160; </div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;            <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i &lt; n - 2; i++ )</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;            {</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;                <span class="keyword">const</span> Equation3&amp; eq = m_eq[i];</div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160; </div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> b = eq.resolved3( b0, bi );</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;                m[i + 1] = m[i] + ( b + bi ) * m_eq[i].u;</div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160; </div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;                bi = b;</div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;            }</div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;        }</div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160; </div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;        <span class="keywordtype">void</span> resolveSpline3( <span class="keyword">const</span> QPolygonF&amp; points,</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;            <span class="keywordtype">double</span> b0, <span class="keywordtype">double</span> b1, <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a>&amp; m )</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;        {</div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160; </div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;            <span class="keywordtype">double</span> h0 = ( points[1].x() - points[0].x() );</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;            <span class="keywordtype">double</span> s0 = ( points[1].y() - points[0].y() ) / h0;</div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160; </div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;            m[1] = m[0] + ( b0 + b1 ) * h0;</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160; </div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;            <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i &lt; n - 1; i++ )</div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;            {</div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = ( points[i + 1].x() - points[i].x() );</div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( points[i + 1].y() - points[i].y() ) / h1;</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160; </div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> r = 3.0 * ( s1 - s0 );</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160; </div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> b2 = ( r - h0 * b0 - 2.0 * ( h0 + h1 ) * b1 ) / h1;</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;                m[i + 1] = m[i] + ( b1 + b2 ) * h1;</div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160; </div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;                h0 = h1;</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;                s0 = s1;</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;                b0 = b1;</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;                b1 = b2;</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;            }</div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;        }</div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160; </div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;        <span class="keywordtype">void</span> resolveSpline4( <span class="keyword">const</span> QPolygonF&amp; points,</div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;            <span class="keywordtype">double</span> b2, <span class="keywordtype">double</span> b1, <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a>&amp; m )</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;        {</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160; </div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;            <span class="keywordtype">double</span> h2 = ( points[n - 1].x() - points[n - 2].x() );</div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;            <span class="keywordtype">double</span> s2 = ( points[n - 1].y() - points[n - 2].y() ) / h2;</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160; </div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;            <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = n - 2; i &gt; 1; i-- )</div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;            {</div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = ( points[i].x() - points[i - 1].x() );</div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( points[i].y() - points[i - 1].y() ) / h1;</div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160; </div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> r = 3.0 * ( s2 - s1 );</div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> k = 2.0 * ( h1 + h2 );</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160; </div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> b0 = ( r - h2 * b2 - k * b1 ) / h1;</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160; </div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;                m[i - 1] = m[i] - ( b0 + b1 ) * h1;</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160; </div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;                h2 = h1;</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;                s2 = s1;</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;                b2 = b1;</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;                b1 = b0;</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;            }</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;        }</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160; </div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;        <a class="code" href="class_q_vector.html">QVector&lt; Equation3 &gt;</a> m_eq;</div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;        T m_store;</div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;    };</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;}</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160; </div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;<span class="keyword">static</span> <span class="keywordtype">void</span> qwtSetupEndEquations(</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;    <span class="keywordtype">int</span> conditionBegin, <span class="keywordtype">double</span> valueBegin, <span class="keywordtype">int</span> conditionEnd, <span class="keywordtype">double</span> valueEnd,</div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;    <span class="keyword">const</span> QPolygonF&amp; points, QwtSplineCubicP::Equation3 eq[2] )</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;{</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160; </div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> h0 = points[1].x() - points[0].x();</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> s0 = ( points[1].y() - points[0].y() ) / h0;</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160; </div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> hn = ( points[n - 1].x() - points[n - 2].x() );</div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> sn = ( points[n - 1].y() - points[n - 2].y() ) / hn;</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160; </div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;    <span class="keywordflow">switch</span>( conditionBegin )</div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;    {</div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028">QwtSpline::Clamped1</a>:</div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;        {</div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;            <span class="comment">// first derivative at end points given</span></div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160; </div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;            <span class="comment">// 3 * a1 * h + b1 = b2</span></div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;            <span class="comment">// a1 * h * h + b1 * h + c1 = s</span></div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160; </div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;            <span class="comment">// c1 = slopeBegin</span></div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;            <span class="comment">// =&gt; b1 * ( 2 * h / 3.0 ) + b2 * ( h / 3.0 ) = s - slopeBegin</span></div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160; </div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;            <span class="comment">// c2 = slopeEnd</span></div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;            <span class="comment">// =&gt; b1 * ( 1.0 / 3.0 ) + b2 * ( 2.0 / 3.0 ) = ( slopeEnd - s ) / h;</span></div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160; </div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;            eq[0].setup( 2 * h0 / 3.0, h0 / 3.0, 0.0, s0 - valueBegin );</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;        }</div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a>:</div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;        {</div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;            <span class="comment">// second derivative at end points given</span></div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160; </div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;            <span class="comment">// b0 = 0.5 * cvStart</span></div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;            <span class="comment">// =&gt; b0 * 1.0 + b1 * 0.0 = 0.5 * cvStart</span></div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160; </div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;            <span class="comment">// b1 = 0.5 * cvEnd</span></div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;            <span class="comment">// =&gt; b0 * 0.0 + b1 * 1.0 = 0.5 * cvEnd</span></div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160; </div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;            eq[0].setup( 1.0, 0.0, 0.0, 0.5 * valueBegin );</div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;        }</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3">QwtSpline::Clamped3</a>:</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;        {</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;            <span class="comment">// third derivative at end point given</span></div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160; </div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;            <span class="comment">// 3 * a * h0 + b[0] = b[1]</span></div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160; </div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;            <span class="comment">// a = marg_0 / 6.0</span></div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;            <span class="comment">// =&gt; b[0] * 1.0 + b[1] * ( -1.0 ) = -0.5 * v0 * h0</span></div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160; </div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;            <span class="comment">// a = marg_n / 6.0</span></div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;            <span class="comment">// =&gt; b[n-2] * 1.0 + b[n-1] * ( -1.0 ) = -0.5 * v1 * h5</span></div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160; </div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;            eq[0].setup( 1.0, -1.0, 0.0, -0.5 * valueBegin * h0 );</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160; </div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;        }</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a">QwtSpline::LinearRunout</a>:</div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;        {</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> r0 = qBound( 0.0, valueBegin, 1.0 );</div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;            <span class="keywordflow">if</span> ( r0 == 0.0 )</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;            {</div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;                <span class="comment">// clamping s0</span></div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;                eq[0].setup( 2 * h0 / 3.0, h0 / 3.0, 0.0, 0.0 );</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;            }</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;            {</div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;                eq[0].setup( 1.0 + 2.0 / r0, 2.0 + 1.0 / r0, 0.0, 0.0 );</div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;            }</div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;        }</div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a>:</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a>:</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;        {</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;            <span class="comment">// building one cubic curve from 3 points</span></div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160; </div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;            <span class="keywordtype">double</span> v0;</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160; </div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;            <span class="keywordflow">if</span> ( conditionBegin == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a> )</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;            {</div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;                <span class="comment">// first/last point are the endpoints of the curve</span></div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160; </div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;                <span class="comment">// b0 = 2 * b1 - b2</span></div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;                <span class="comment">// =&gt; 1.0 * b0 - 2 * b1 + 1.0 * b2 = 0.0</span></div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160; </div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;                v0 = 1.0;</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;            }</div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;            {</div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;                <span class="comment">// first/last points are on the curve,</span></div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;                <span class="comment">// the imaginary endpoints have the same distance as h0/hn</span></div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160; </div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;                v0 = h0 / ( points[2].x() - points[1].x() );</div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;            }</div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160; </div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;            eq[0].setup( 1.0, -( 1.0 + v0 ), v0, 0.0 );</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;        }</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;        <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;        {</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;            <span class="comment">// a natural spline, where the</span></div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;            <span class="comment">// second derivative at end points set to 0.0</span></div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;            eq[0].setup( 1.0, 0.0, 0.0, 0.0 );</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;        }</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;    }</div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160; </div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;    <span class="keywordflow">switch</span>( conditionEnd )</div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;    {</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028">QwtSpline::Clamped1</a>:</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;        {</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;            <span class="comment">// first derivative at end points given</span></div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;            eq[1].setup( 0.0, 1.0 / 3.0 * hn, 2.0 / 3.0 * hn, valueEnd - sn );</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;        }</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a>:</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;        {</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;            <span class="comment">// second derivative at end points given</span></div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;            eq[1].setup( 0.0, 0.0, 1.0, 0.5 * valueEnd );</div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;        }</div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3">QwtSpline::Clamped3</a>:</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;        {</div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;            <span class="comment">// third derivative at end point given</span></div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;            eq[1].setup( 0.0, 1.0, -1.0, -0.5 * valueEnd * hn );</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;        }</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a">QwtSpline::LinearRunout</a>:</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;        {</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> rn = qBound( 0.0, valueEnd, 1.0 );</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;            <span class="keywordflow">if</span> ( rn == 0.0 )</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;            {</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;                <span class="comment">// clamping sn</span></div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;                eq[1].setup( 0.0, 1.0 / 3.0 * hn, 2.0 / 3.0 * hn, 0.0 );</div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;            }</div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;            {</div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;                eq[1].setup( 0.0, 2.0 + 1.0 / rn, 1.0 + 2.0 / rn, 0.0 );</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;            }</div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160; </div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;        }</div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a>:</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;        <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a>:</div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;        {</div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;            <span class="comment">// building one cubic curve from 3 points</span></div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160; </div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;            <span class="keywordtype">double</span> vn;</div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160; </div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;            <span class="keywordflow">if</span> ( conditionEnd == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a> )</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;            {</div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;                <span class="comment">// last point is the endpoints of the curve</span></div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;                vn = 1.0;</div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;            }</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;            {</div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;                <span class="comment">// last points on the curve,</span></div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;                <span class="comment">// the imaginary endpoints have the same distance as hn</span></div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160; </div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;                vn = hn / ( points[n - 2].x() - points[n - 3].x() );</div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;            }</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160; </div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;            eq[1].setup( vn, -( 1.0 + vn ), 1.0, 0.0 );</div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;        }</div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;        <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;        {</div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;            <span class="comment">// a natural spline, where the</span></div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;            <span class="comment">// second derivative at end points set to 0.0</span></div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;            eq[1].setup( 0.0, 0.0, 1.0, 0.0 );</div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;            <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;        }</div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;    }</div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;}</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160; </div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;<span class="keyword">class </span>QwtSplineCubic::PrivateData</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;{</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;};</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160; </div>
<div class="line"><a name="l00966"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a1b2be8cd279e9c4c11d575af0149c76c">  966</a></span>&#160;<a class="code" href="class_qwt_spline_cubic.html#a1b2be8cd279e9c4c11d575af0149c76c">QwtSplineCubic::QwtSplineCubic</a>()</div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;    : m_data( nullptr )</div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;{</div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;    <span class="comment">// a natural spline</span></div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160; </div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;    <a class="code" href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052">setBoundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a>, <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a> );</div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;    <a class="code" href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b">setBoundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a>, 0.0 );</div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160; </div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;    <a class="code" href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052">setBoundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a>, <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a> );</div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;    <a class="code" href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b">setBoundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a>, 0.0 );</div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;}</div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160; </div>
<div class="line"><a name="l00979"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a5106e34c989523d8855ab6f3a3c92a99">  979</a></span>&#160;<a class="code" href="class_qwt_spline_cubic.html#a5106e34c989523d8855ab6f3a3c92a99">QwtSplineCubic::~QwtSplineCubic</a>()</div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;{</div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;}</div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160; </div>
<div class="line"><a name="l00989"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a57556203619b795b319b186a39d1005c">  989</a></span>&#160;uint <a class="code" href="class_qwt_spline_cubic.html#a57556203619b795b319b186a39d1005c">QwtSplineCubic::locality</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;    <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;}</div>
<div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160; </div>
<div class="line"><a name="l01006"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#aca2090145ab5ebf20ab38f7b9ae70d16"> 1006</a></span>&#160;<a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> <a class="code" href="class_qwt_spline_cubic.html#aca2090145ab5ebf20ab38f7b9ae70d16">QwtSplineCubic::slopes</a>( <span class="keyword">const</span> QPolygonF&amp; points )<span class="keyword"> const</span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;    <span class="keyword">using namespace </span>QwtSplineCubicP;</div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160; </div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;    <span class="keywordflow">if</span> ( points.size() &lt;= 2 )</div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a>();</div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160; </div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;    <span class="keywordflow">if</span> ( ( <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171">QwtSpline::PeriodicPolygon</a> )</div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;        || ( <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a> ) )</div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;    {</div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;        EquationSystem2&lt; SlopeStore &gt; eqs;</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;        eqs.resolve( points );</div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160; </div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;        <span class="keywordflow">return</span> eqs.store().slopes();</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;    }</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160; </div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;    <span class="keywordflow">if</span> ( points.size() == 3 )</div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;    {</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;        <span class="keywordflow">if</span> ( <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ) == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineCubic::NotAKnot</a></div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;            || <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ) == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineCubic::NotAKnot</a> )</div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;        {</div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;<span class="preprocessor">#if 0</span></div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> h0 = points[1].x() - points[0].x();</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = points[2].x() - points[1].x();</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160; </div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s0 = ( points[1].y() - points[0].y() ) / h0;</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( points[2].y() - points[1].y() ) / h1;</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160; </div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;            <span class="comment">/*</span></div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;<span class="comment">               the system is under-determined and we only</span></div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;<span class="comment">               compute a quadratic spline.</span></div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;<span class="comment">             */</span></div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160; </div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> b = ( s1 - s0 ) / ( h0 + h1 );</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160; </div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;            <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> m( 3 );</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;            m[0] = s0 - h0 * b;</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;            m[1] = s1 - h1 * b;</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;            m[2] = s1 + h1 * b;</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160; </div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;            <span class="keywordflow">return</span> m;</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a>();</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;        }</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;    }</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160; </div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;    Equation3 eq[2];</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;    qwtSetupEndEquations(</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;        <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ),</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;        <a class="code" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ),</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;        <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ),</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;        <a class="code" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ),</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;        points, eq );</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160; </div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;    EquationSystem&lt; SlopeStore &gt; eqs;</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;    eqs.setStartCondition( eq[0].p, eq[0].q, eq[0].u, eq[0].r );</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;    eqs.setEndCondition( eq[1].p, eq[1].q, eq[1].u, eq[1].r );</div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;    eqs.resolve( points );</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; </div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;    <span class="keywordflow">return</span> eqs.store().slopes();</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160;}</div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160; </div>
<div class="line"><a name="l01078"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a8320f8745bf375f1433020edcb0e9def"> 1078</a></span>&#160;<a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a> <a class="code" href="class_qwt_spline_cubic.html#a8320f8745bf375f1433020edcb0e9def">QwtSplineCubic::curvatures</a>( <span class="keyword">const</span> QPolygonF&amp; points )<span class="keyword"> const</span></div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;    <span class="keyword">using namespace </span>QwtSplineCubicP;</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160; </div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;    <span class="keywordflow">if</span> ( points.size() &lt;= 2 )</div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a>();</div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160; </div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;    <span class="keywordflow">if</span> ( ( <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171">QwtSpline::PeriodicPolygon</a> )</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;        || ( <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a> ) )</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;    {</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;        EquationSystem2&lt; CurvatureStore &gt; eqs;</div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;        eqs.resolve( points );</div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160; </div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;        <span class="keywordflow">return</span> eqs.store().curvatures();</div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;    }</div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160; </div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;    <span class="keywordflow">if</span> ( points.size() == 3 )</div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;    {</div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;        <span class="keywordflow">if</span> ( <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ) == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a></div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;            || <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ) == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a> )</div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;        {</div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="class_q_vector.html">QVector&lt; double &gt;</a>();</div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;        }</div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160;    }</div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160; </div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160;    Equation3 eq[2];</div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160;    qwtSetupEndEquations(</div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160;        <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ),</div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160;        <a class="code" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ),</div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;        <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ),</div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;        <a class="code" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ),</div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;        points, eq );</div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160; </div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160;    EquationSystem&lt; CurvatureStore &gt; eqs;</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;    eqs.setStartCondition( eq[0].p, eq[0].q, eq[0].u, eq[0].r );</div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160;    eqs.setEndCondition( eq[1].p, eq[1].q, eq[1].u, eq[1].r );</div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;    eqs.resolve( points );</div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160; </div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;    <span class="keywordflow">return</span> eqs.store().curvatures();</div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;}</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160; </div>
<div class="line"><a name="l01130"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a57a7f07630c5e101eaee886460b28f24"> 1130</a></span>&#160;QPainterPath <a class="code" href="class_qwt_spline_cubic.html#a57a7f07630c5e101eaee886460b28f24">QwtSplineCubic::painterPath</a>( <span class="keyword">const</span> QPolygonF&amp; points )<span class="keyword"> const</span></div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;    <span class="comment">// as QwtSplineCubic can calculate slopes directly we can</span></div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;    <span class="comment">// use the implementation of QwtSplineC1 without any performance loss.</span></div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160; </div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_qwt_spline_c1.html#a79a63604fbbdc82dc2d39ecc4e32df80">QwtSplineC1::painterPath</a>( points );</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;}</div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160; </div>
<div class="line"><a name="l01149"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a7c1a9dac4fa9a10f90bfc968770770dd"> 1149</a></span>&#160;<a class="code" href="class_q_vector.html">QVector&lt; QLineF &gt;</a> <a class="code" href="class_qwt_spline_cubic.html#a7c1a9dac4fa9a10f90bfc968770770dd">QwtSplineCubic::bezierControlLines</a>( <span class="keyword">const</span> QPolygonF&amp; points )<span class="keyword"> const</span></div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160;    <span class="comment">// as QwtSplineCubic can calculate slopes directly we can</span></div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160;    <span class="comment">// use the implementation of QwtSplineC1 without any performance loss.</span></div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160; </div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_qwt_spline_c1.html#a95bd3ff76fa0975f07b2351f4194e60e">QwtSplineC1::bezierControlLines</a>( points );</div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160;}</div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160; </div>
<div class="line"><a name="l01167"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#afa46c0c18238fde55101ac61b3a99353"> 1167</a></span>&#160;<a class="code" href="class_q_vector.html">QVector&lt; QwtSplinePolynomial &gt;</a> <a class="code" href="class_qwt_spline_cubic.html#afa46c0c18238fde55101ac61b3a99353">QwtSplineCubic::polynomials</a>( <span class="keyword">const</span> QPolygonF&amp; points )<span class="keyword"> const</span></div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_qwt_spline_c2.html#ab7502fe760f6c98b46fe9bd9fc24813b">QwtSplineC2::polynomials</a>( points );</div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;}</div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160; </div>
<div class="ttc" id="aclass_q_vector_html"><div class="ttname"><a href="class_q_vector.html">QVector&lt; double &gt;</a></div></div>
<div class="ttc" id="aclass_qwt_spline_c1_html_a79a63604fbbdc82dc2d39ecc4e32df80"><div class="ttname"><a href="class_qwt_spline_c1.html#a79a63604fbbdc82dc2d39ecc4e32df80">QwtSplineC1::painterPath</a></div><div class="ttdeci">virtual QPainterPath painterPath(const QPolygonF &amp;) const override</div><div class="ttdoc">Calculate an interpolated painter path.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l01043">qwt_spline.cpp:1043</a></div></div>
<div class="ttc" id="aclass_qwt_spline_c1_html_a95bd3ff76fa0975f07b2351f4194e60e"><div class="ttname"><a href="class_qwt_spline_c1.html#a95bd3ff76fa0975f07b2351f4194e60e">QwtSplineC1::bezierControlLines</a></div><div class="ttdeci">virtual QVector&lt; QLineF &gt; bezierControlLines(const QPolygonF &amp;) const override</div><div class="ttdoc">Interpolate a curve with Bezier curves.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l01101">qwt_spline.cpp:1101</a></div></div>
<div class="ttc" id="aclass_qwt_spline_c2_html_aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b"><div class="ttname"><a href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a></div><div class="ttdeci">@ NotAKnot</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00293">qwt_spline.h:292</a></div></div>
<div class="ttc" id="aclass_qwt_spline_c2_html_aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119"><div class="ttname"><a href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a></div><div class="ttdeci">@ CubicRunout</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00283">qwt_spline.h:283</a></div></div>
<div class="ttc" id="aclass_qwt_spline_c2_html_ab7502fe760f6c98b46fe9bd9fc24813b"><div class="ttname"><a href="class_qwt_spline_c2.html#ab7502fe760f6c98b46fe9bd9fc24813b">QwtSplineC2::polynomials</a></div><div class="ttdeci">virtual QVector&lt; QwtSplinePolynomial &gt; polynomials(const QPolygonF &amp;) const override</div><div class="ttdoc">Calculate the interpolating polynomials for a non parametric spline.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l01381">qwt_spline.cpp:1381</a></div></div>
<div class="ttc" id="aclass_qwt_spline_cubic_html_a1b2be8cd279e9c4c11d575af0149c76c"><div class="ttname"><a href="class_qwt_spline_cubic.html#a1b2be8cd279e9c4c11d575af0149c76c">QwtSplineCubic::QwtSplineCubic</a></div><div class="ttdeci">QwtSplineCubic()</div><div class="ttdoc">Constructor The default setting is a non closing natural spline with no parametrization.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l00966">qwt_spline_cubic.cpp:966</a></div></div>
<div class="ttc" id="aclass_qwt_spline_cubic_html_a5106e34c989523d8855ab6f3a3c92a99"><div class="ttname"><a href="class_qwt_spline_cubic.html#a5106e34c989523d8855ab6f3a3c92a99">QwtSplineCubic::~QwtSplineCubic</a></div><div class="ttdeci">virtual ~QwtSplineCubic()</div><div class="ttdoc">Destructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l00979">qwt_spline_cubic.cpp:979</a></div></div>
<div class="ttc" id="aclass_qwt_spline_cubic_html_a57556203619b795b319b186a39d1005c"><div class="ttname"><a href="class_qwt_spline_cubic.html#a57556203619b795b319b186a39d1005c">QwtSplineCubic::locality</a></div><div class="ttdeci">virtual uint locality() const override</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l00989">qwt_spline_cubic.cpp:989</a></div></div>
<div class="ttc" id="aclass_qwt_spline_cubic_html_a57a7f07630c5e101eaee886460b28f24"><div class="ttname"><a href="class_qwt_spline_cubic.html#a57a7f07630c5e101eaee886460b28f24">QwtSplineCubic::painterPath</a></div><div class="ttdeci">virtual QPainterPath painterPath(const QPolygonF &amp;) const override</div><div class="ttdoc">Interpolate a curve with Bezier curves.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01130">qwt_spline_cubic.cpp:1130</a></div></div>
<div class="ttc" id="aclass_qwt_spline_cubic_html_a7c1a9dac4fa9a10f90bfc968770770dd"><div class="ttname"><a href="class_qwt_spline_cubic.html#a7c1a9dac4fa9a10f90bfc968770770dd">QwtSplineCubic::bezierControlLines</a></div><div class="ttdeci">virtual QVector&lt; QLineF &gt; bezierControlLines(const QPolygonF &amp;points) const override</div><div class="ttdoc">Interpolate a curve with Bezier curves.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01149">qwt_spline_cubic.cpp:1149</a></div></div>
<div class="ttc" id="aclass_qwt_spline_cubic_html_a8320f8745bf375f1433020edcb0e9def"><div class="ttname"><a href="class_qwt_spline_cubic.html#a8320f8745bf375f1433020edcb0e9def">QwtSplineCubic::curvatures</a></div><div class="ttdeci">virtual QVector&lt; double &gt; curvatures(const QPolygonF &amp;) const override</div><div class="ttdoc">Find the second derivative at the control points.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01078">qwt_spline_cubic.cpp:1078</a></div></div>
<div class="ttc" id="aclass_qwt_spline_cubic_html_aca2090145ab5ebf20ab38f7b9ae70d16"><div class="ttname"><a href="class_qwt_spline_cubic.html#aca2090145ab5ebf20ab38f7b9ae70d16">QwtSplineCubic::slopes</a></div><div class="ttdeci">virtual QVector&lt; double &gt; slopes(const QPolygonF &amp;) const override</div><div class="ttdoc">Find the first derivative at the control points.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01006">qwt_spline_cubic.cpp:1006</a></div></div>
<div class="ttc" id="aclass_qwt_spline_cubic_html_afa46c0c18238fde55101ac61b3a99353"><div class="ttname"><a href="class_qwt_spline_cubic.html#afa46c0c18238fde55101ac61b3a99353">QwtSplineCubic::polynomials</a></div><div class="ttdeci">virtual QVector&lt; QwtSplinePolynomial &gt; polynomials(const QPolygonF &amp;) const override</div><div class="ttdoc">Calculate the interpolating polynomials for a non parametric spline.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01167">qwt_spline_cubic.cpp:1167</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024"><div class="ttname"><a href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a></div><div class="ttdeci">@ AtBeginning</div><div class="ttdoc">the condition is at the beginning of the polynomial</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00102">qwt_spline.h:102</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55"><div class="ttname"><a href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a></div><div class="ttdeci">@ AtEnd</div><div class="ttdoc">the condition is at the end of the polynomial</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00106">qwt_spline.h:105</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_a3a51db25eb5f3e4716fe172ae3ca35ec"><div class="ttname"><a href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">QwtSpline::boundaryValue</a></div><div class="ttdeci">double boundaryValue(BoundaryPosition) const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00682">qwt_spline.cpp:682</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_a6306d24451d24f16d30880b9114d3052"><div class="ttname"><a href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052">QwtSpline::setBoundaryCondition</a></div><div class="ttdeci">void setBoundaryCondition(BoundaryPosition, int condition)</div><div class="ttdoc">Define the condition for an endpoint of the spline.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00639">qwt_spline.cpp:639</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_a77de5f694c70a7c0b34a02c04093fcee"><div class="ttname"><a href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">QwtSpline::boundaryCondition</a></div><div class="ttdeci">int boundaryCondition(BoundaryPosition) const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00651">qwt_spline.cpp:651</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_a7f5f43e9e83fd23210ac528802c0496d"><div class="ttname"><a href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">QwtSpline::boundaryType</a></div><div class="ttdeci">BoundaryType boundaryType() const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00626">qwt_spline.cpp:626</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_ac14c58e4301b85732c97a4daaf7a9b8b"><div class="ttname"><a href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b">QwtSpline::setBoundaryValue</a></div><div class="ttdeci">void setBoundaryValue(BoundaryPosition, double value)</div><div class="ttdoc">Define the boundary value.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00670">qwt_spline.cpp:670</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a></div><div class="ttdeci">@ ClosedPolygon</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00093">qwt_spline.h:92</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171">QwtSpline::PeriodicPolygon</a></div><div class="ttdeci">@ PeriodicPolygon</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00079">qwt_spline.h:79</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe"><div class="ttname"><a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a></div><div class="ttdeci">@ Clamped2</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00134">qwt_spline.h:134</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a"><div class="ttname"><a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a">QwtSpline::LinearRunout</a></div><div class="ttdeci">@ LinearRunout</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00154">qwt_spline.h:153</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3"><div class="ttname"><a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3">QwtSpline::Clamped3</a></div><div class="ttdeci">@ Clamped3</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00143">qwt_spline.h:143</a></div></div>
<div class="ttc" id="aclass_qwt_spline_html_af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028"><div class="ttname"><a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028">QwtSpline::Clamped1</a></div><div class="ttdeci">@ Clamped1</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00125">qwt_spline.h:125</a></div></div>
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